Results 101 to 110 of about 577,075 (200)

k-Fractional Extension of h-Hadamard Integrals and Derivatives

Journal of Al-Qadisiyah for Computer Science and Mathematics
In this paper, we present a generalization types of the h-Hadamard integrals and derivatives parameterized by k. The h-Hadamard integrals and derivatives are themselves generalizations of the Hadamard integrals and derivatives, defined in relation to a continuous function h.
Sajad Talib Khathem, Methaq Hamza Geem
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Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

Fractal and Fractional
The aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah   +3 more
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On caputo modification of the hadamard fractional derivative

, 2020
54
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Hadamard-type fractional differential equations, inclusions and inequalities

, 2017
This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.
Tariboon, Jessada, Jessada Tariboon, Ntouyas, Sotiris K, Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi, Ahmad, Bashir, Alsaedi, Ahmed   +7 more
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On Some Inequalities with Higher Fractional Orders

Fractal and Fractional
The novelty herein pertains to a class of fractional differential equations involving the Hadamard fractional derivative of higher order. Our investigation encompasses the fractional integral operator of a logarithmic function.
Lakhdar Ragoub
doaj   +1 more source

New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications

Fractal and Fractional
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor, Amjad Hussain, Yuanheng Wang   +2 more
doaj   +1 more source

Mittag‐Leffler stability of neural networks with Caputo–Hadamard fractional derivative

Mathematical Methods in the Applied Sciences
In this paper, a Hopfield‐type neural network system with Caputo–Hadamard fractional derivative is discussed. The importance of the existence of the equilibrium point in the analysis of artificial neural networks is well known. Another important investigation is the stability properties. So, the stability of a neural network system is dealt with in the
Elif Demirci, Fatma Karakoç, Aysen Kütahyalıoglu   +2 more
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A New Fractional Model for the Cancer Treatment by Radiotherapy Using the Hadamard Fractional Derivative

, 2019
In this article, a mathematical model for cancer treatment by radiotherapy is examined. The model is integrated into the Hadamard fractional derivative. First, we examine the existence of the solution. Then, the uniqueness of the solution is investigated.
M. Awadalla, Y .Y. Yameni, K. Abuassba
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Sur la dérivée fractionnaire au sens de Hadamard [PDF]

, 2017
CDL’objet de ce mémoire est de donner quelques résultats concernant les intégralesfractionnaires et les dérivées fractionnaires de type Hadamard et au sensde Hadamard.
Kasser, Kheira
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Two high order, combined compact ADI schemes for solving 2D time–fractional advection–diffusion equation

Results in Applied Mathematics
This paper develops two efficient numerical methods for solving two-dimensional advection–diffusion equations involving the Caputo–Hadamard fractional derivative.
Yasin Sadeghi Nav, Hossein Aminikhah
doaj   +1 more source